Entanglement properties of the harmonic chain

被引:336
作者
Audenaert, K [1 ]
Eisert, J
Plenio, MB
Werner, RR
机构
[1] Univ London Imperial Coll Sci Technol & Med, QOLS, Blackett Lab, London SW7 2BW, England
[2] TU Braunschweig, Inst Math Phys, D-38106 Braunschweig, Germany
来源
PHYSICAL REVIEW A | 2002年 / 66卷 / 04期
关键词
D O I
10.1103/PhysRevA.66.042327
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the entanglement properties of a closed chain of harmonic oscillators that are coupled via a translationally invariant Hamiltonian, where the coupling acts only on the position operators. We consider the ground state and thermal states of this system, which are Gaussian states. The entanglement properties of these states can be completely characterized analytically when one uses the logarithmic negativity as a measure of entanglement.
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页数:14
相关论文
共 48 条
[1]  
ACIN A, QUANTPH0202056
[2]  
[Anonymous], 1996, Matrix Analysis
[3]  
[Anonymous], 1998, QUANTPH0011036
[4]  
ARVIND B, QUANTPH9509002
[5]   Quantum error correction for communication with linear optics [J].
Braunstein, SL .
NATURE, 1998, 394 (6688) :47-49
[6]   Persistent entanglement in arrays of interacting particles [J].
Briegel, HJ ;
Raussendorf, R .
PHYSICAL REVIEW LETTERS, 2001, 86 (05) :910-913
[7]   Quantum distribution of Gaussian keys using squeezed states -: art. no. 052311 [J].
Cerf, NJ ;
Lévy, M ;
Van Assche, G .
PHYSICAL REVIEW A, 2001, 63 (05) :523111-523115
[8]  
DENNISON KA, QUANTPH0202048
[9]   Quantum and classical correlations in quantum Brownian motion [J].
Eisert, J ;
Plenio, MB .
PHYSICAL REVIEW LETTERS, 2002, 89 (13)
[10]   A comparison of entanglement measures [J].
Eisert, J ;
Plenio, MB .
JOURNAL OF MODERN OPTICS, 1999, 46 (01) :145-154